Laptop won't turn on, battery light blinking

First of all all what do you mean by "random" error codes? So seemingly random to you. Nothing is random with computers. There is always a specific reason. The task is find what it is.

Here are some of the LED codes:

Power indicator

The power indicator lights up when the Notebook PC is turned on and blinks slowly when the Notebook PC is in sleep mode.

Two-color battery charge indicator

The two-color LED provides a visual indication of the battery's charge status.Refer to the following for details:

1. Solid White : The Notebook PC is plugged to a power source and the battery power is between 95% and 100%.
2. Solid Orange : The Notebook PC is plugged to a power source,charging its battery,and the battery power is less than 95%.
3. Blinking Orange : The Notebook PC is running on battery mode and the battery power is less than 10%.
4. Lights off : The Notebook PC is running on battery mode and the battery power is between 10% to 100%.

So it looks like your battery charge level is low below 10% of full charge.

Is your charger working? Should output approximately 19volts if you have a multimeter. For your laptop just look at the label on the charger itself for the correct amout. Are you using the original ASUS charger?

Leave it plugged in over night to see if it charges. If it you may need a new battery or charger.

This isn't exactly your model but may be similar. Don't take the battery out but just disconnect it as shown in Step 3. Then connect the charger and see if it turns on. If it does then the battery may be the problem. If it doesn't the charger may be the problem. Any blackouts or power surges in your neigbourhood lately ?

Asus VivoBook 14" F412DA Battery Replacement

Let us know how it goes. There may be other possible causes for your problem.